I guess if we're sharing D-Day stories, I'll share my grandfather's... parts told to me by my grandmother when she got older (and hopefully I've got it straight). My grandfather never spoke about it as I understand it from my family, but he died when I was 12 so I wouldn't have heard much anyway.
He was born outside Zagreb, Croatia, and immigrated to the US when he was a teenager. Enlisted in his early 20's during the war, and got married on furlough between training and shipping out to England. He was at Utah beach on D-Day, and made it off the beach, but was shot twice - once in the back of his shoulder, and once in the butt - while trying to pull his CO back under cover. (I do remember seeing the twisted scars on his shoulder as a kid.) As he was laying there after having been shot, a German soldier approach and my grandfather crossed himself... and the German soldier kicked a coat over my grandfather's face, and moved on.
My grandfather was found sometime later, and wound up in the hospital. He wrote my grandmother that he was injured, but would be OK. She said she was so happy, because she thought he was coming home, then got another letter a couple of weeks later saying he had decided to stay on to help out where he could. He received a purple heart and bronze star. He came back to live outside of Pittsburgh, worked for Westinghouse for a long time, and raised 5 girls, the oldest of which is my mom.